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Finding the Fourth Proportional to 978.82, 1,467.93 and 285.54

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Solution

The fourth proportional to 978.82, 1,467.93 and 285.54 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.82 : 1,467.93 = 285.54 : x
  2. Step 2: Convert to fraction form
    978.82/1,467.93 = 285.54/x
  3. Step 3: Cross multiply
    978.82x = 1,467.93 × 285.54
  4. Step 4: Simplify right side
    978.82x = 419,152.73
  5. Step 5: Solve for x
    x = 419,152.73/978.82
  6. Step 6: Final answer
    x = 428.22

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